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Texas A&M University
Mathematics

Student/Postdoc Working Geometry Seminar

Date: December 2, 2022

Time: 1:00PM - 2:00PM

Location: BLOC 628

Speaker: Jan Draisma, U. Bern

  

Title: A wonderful conjecture by Kazhdan and Ziegler

Abstract: The conjecture: if f:Z ->{nxn-matrices over the complex numbers} is a c-quasihomomorphism (this means that f(a+b)-f(a)-f(b) has rank at most c for all a,b in Z, then f(a)-a*f(1) has rank at most some C=C(c), which doesn't depend on n. I'll discuss the problem and Kazhdan-Ziegler's motivation, and our (Eggermont, Seynnaeve, Tairi, and I) solution in the diagonal case.